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A monotonic priority set is a new data structure which supports maximum-finding and deletions over a set of weighted points in the plane. Global updates to the weights can also be made, incrementing the weights of all points above a given threshold in one of the coordinates. The weights are assumed to be always monotonic in both coordinates. An efficient implementation of this structure is presented...
Upper and lower bounds are proved for the shared space requirements for solution of several problems involving resource allocation among asynchronous processes. Controlling the degradation of performance when a limited number of processes fail is of particular interest.
Two new classes of grammars based on programming macros are studied. Both involve appending arguments to the intermediate symbols of a context-free grammar. They differ only in the order in which nested terms may be expanded: IO is expansion from the inside-out; OI from the outside-in. Both classes, in common with the context-free, have decidable emptiness and derivation problems, and both are closed...
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